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# continued fraction

## noun

*Mathematics.*

- a fraction whose denominator contains a fraction whose denominator contains a fraction, and so on.

continued fraction

## noun

- a number plus a fraction whose denominator contains a number and a fraction whose denominator contains a number and a fraction, and so on

## Word History and Origins

Origin of continued fraction^{1}

## Example Sentences

An efficient way to find its rational approximations is to use continued fractions, which alternate being slightly less and slightly more than the irrational value.

If a or b is unity, a/b cannot be converted into a continued fraction with unit numerators, and the above method fails.

The continued fraction is therefore incommensurable, and cannot be unity.

He had not then the continued fraction, a mode of representation which he gave the next year in his work on the square root.

The simple continued fraction is both the most interesting and important kind of continued fraction.

Similarly the continued fraction given by Euler as equivalent to (e - 1) (e being the base of Napierian logarithms), viz.

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